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19983101 is a prime number
BaseRepresentation
bin100110000111…
…0101011111101
31101121020122212
41030032223331
520103424401
61552150205
7331565525
oct114165375
941536585
1019983101
1110309666
126838365
1341a8828
142922685
151b4adbb
hex130eafd

19983101 has 2 divisors, whose sum is σ = 19983102. Its totient is φ = 19983100.

The previous prime is 19983091. The next prime is 19983107. The reversal of 19983101 is 10138991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14830201 + 5152900 = 3851^2 + 2270^2 .

It is an emirp because it is prime and its reverse (10138991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19983101 - 222 = 15788797 is a prime.

It is a super-3 number, since 3×199831013 (a number of 23 digits) contains 333 as substring.

It is a Chen prime.

It is equal to p1269590 and since 19983101 and 1269590 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19983107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9991550 + 9991551.

It is an arithmetic number, because the mean of its divisors is an integer number (9991551).

Almost surely, 219983101 is an apocalyptic number.

It is an amenable number.

19983101 is a deficient number, since it is larger than the sum of its proper divisors (1).

19983101 is an equidigital number, since it uses as much as digits as its factorization.

19983101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The square root of 19983101 is about 4470.2461900884. The cubic root of 19983101 is about 271.3652885446.

The spelling of 19983101 in words is "nineteen million, nine hundred eighty-three thousand, one hundred one".